Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

    It relates to the truth of numbers and magnitudes equally to all sciences and arts. The book brings to light how great and true knowledge is born of intuition, quite different from modern Western method. The ancient Indian method and its secret techniques are examined and shown to be capable of solving various problems of mathematics.

    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.

    For some of us, the word conjures up memories of ten-pound textbooks and visions of tedious abstract equations. And yet, in reality, calculus is fun, accessible, and surrounds us everywhere we go. In Everyday Calculus, Oscar Fernandez shows us how to see the math in our coffee, on the highway, and even in the night sky.Fernandez uses our everyday experiences to skillfully reveal the hidden calculus behind a typical day's events. He guides us through how math naturally emerges from simple observations-how hot coffee cools down, for example-and in discussions of over fifty familiar events and activities. Fernandez demonstrates that calculus can be used to explore practically any aspect of our lives, including the most effective number of hours to sleep and the fastest route to get to work. He also shows that calculus can be both useful-determining which seat at the theater leads to the best viewing experience, for instance-and fascinating-exploring topics such as time travel and the age of the universe. Throughout, Fernandez presents straightforward concepts, and no prior mathematical knowledge is required. For advanced math fans, the mathematical derivations are included in the appendixes.Whether you're new to mathematics or already a curious math enthusiast, Everyday Calculus invites you to spend a day discovering the calculus all around you. The book will convince even die-hard skeptics to view this area of math in a whole new way.

    They speak of it in awed terms and consider it to be an even more difficult problem than Fermat's last theorem, which was finally proven by Andrew Wiles in 1995.In The Riemann Hypothesis, acclaimed author Karl Sabbagh interviews some of the world's finest mathematicians who have spent their lives working on the problem--and whose approaches to meeting the challenges thrown up by the hypothesis are as diverse as their personalities.Wryly humorous, lively, accessible and comprehensive, The Riemann Hypothesis is a compelling exploration of the people who do math and the ideas that motivate them to the brink of obsession--and a profound meditation on the ultimate meaning of mathematics.

    But, barely one thousand days into his Presidency, he was assassinated. JFK in an Hour provides a compelling and comprehensive overview of this man credited with introducing an aspirational new approach to American politics.Learn about the Kennedy family, the cast that propelled JFK to success despite family tragedy. Discover Kennedy’s talented diplomatic skills when navigating the Space Race, the nuclear missile crisis and his sympathies with the fledging civil rights movement. Learn about the man himself, the charming son, brother and husband, who maintained a charismatic public image, despite suffering from chronic illness all his life. JFK in an Hour provides key insight into why Kennedy epitomised the hopes of a new decade, and remains such an influential figure to this day.Love history? Know your stuff with History in an Hour…

    Powerful pharaohs built great cities on the fertile banks of the Nile, and employed thousands of labourers to create lavish tombs and temples such as Thebes and the pyramids of the Giza plateau. The exceptional beauty and scale of ancient Egypt s antiquities still draws millions of visitors to Egypt s museums and monuments each year. The Encyclopedia of Ancient Egypt is a celebration of these wonders, from Tutankhamun s tomb to Cleopatra s obelisks, from ancient papyrus scrolls covered with hieroglyphs to golden amulets in the form of ankhs and scarabs. The book also uncovers ancient Egyptian life from the role of women and the form of an Egyptian wedding banquet, to the weights, measures and currencies used in everyday trading and explores the modern archaelogy taking place on the ancient sites revealing the Egyptians artefacts and tools. With a combination of modern, specially commissioned colour illustrations and images of Egyptian antiquities and treasures alongside a detailed history of the civilisation to put it all into context, the world of the pharaohs is brought to life in vivid detail. For intrigued adults or fascinated children alike, The Encyclopedia of Ancient Egypt provides a wealth of information about the riches of the ancient world."

    Travel back to ancient Greece with Professor Emeritus of Philosophy Donald R. Moor and author Robert M. Pirsig ("Zen and the Art of Motorcycle Maintenance") to meet this legendary thinker. In addition to expanding upon his famous allegory of the cave, Plato talks about learning through dialogue, the primacy of good and the price of wrong doing, democracy, freedom and censorship, women's equality, love, and mathematics, and the search for truth.

    The author has a direct style. His book presents detailed and intensive explanations. Many diagrams and key examples are used to aid understanding, as well as the application of calculus to physics and engineering and economics. The text is well organized, and it covers single variable and multivariable calculus in depth. An instructor's manual and student guide are available online at http: //ocw.mit.edu/ans7870/resources/Strang/....

    This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".

    Marked by the Manson murders, rampant inflation, and recession, the decade seemed to usher in a gritty and unsightly reality. The city of glitz and glamour overnight became the city of smog and traffic, a cultural and environmental wasteland.Los Angeles in the 1970s was a complex and complicated city with local cultural touchstones that rarely made it near the silver screen. In Los Angeles in the 1970s, LA natives, transplants, and escapees talk about their personal lives intersecting with the city during a decade of struggle. From The Doors’ John Densmore seeing the titular L.A. Woman on a billboard on Sunset, to Deanne Stillman’s twisting path from Ohioan to New Yorker to finally finding her true home as an Angeleno, to Chip Jacobs’ thrilling retelling of the “snake in the mailbox” attempted murder, to Anthony Davis recounting his time as “Notre Dame Killer” and USC football hero, these are stories of the real Los Angeles—families trying to survive the closing of factories, teens cruising Van Nuys Boulevard, the Chicano Moratorium that killed three protestors, the making of a porn legend.Los Angeles in the 1970s is a love letter to the sprawling and complicatedfabric of a Los Angeles often forgotten and mostly overlooked. Welcome to the Gold Mine.

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    Using playing cards, a newspaper, the back of an envelope, a Sudoku, some pennies and of course a pair of socks, Rob Eastaway shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects. Among the many fascinating curiosities in these pages, you will discover the strange link between limericks and rabbits, an apparently 'fair' coin game where the odds are massively in your favour, why tourist boards can't agree on where the centre of Britain is, and how simple paper folding can lead to a Jurassic Park monster. With plenty of ideas you'll want to test out for yourself, this engaging and refreshing look at mathematics is for everyone.

    But now, with the aid of high-speed computers, scientists have been able to penetrate a reality that is changing the way we perceive the universe. Their findings -- the basis for chaos theory -- represent one of the most exciting scientific pursuits of our time.No better introduction to this find could be found than John Briggs and F. David Peat's Turbulent Mirror. Together, they explore the many faces of chaos and reveal how its law direct most of the processes of everyday life and how it appears that everything in the universe is interconnected -- discovering an "emerging science of wholeness."Turbulent Mirror introduces us to the scientists involved in study this endlessly strange field; to the theories that are turning our perception of the world on its head; and to the discoveries in mathematics, biology, and physics that are heralding a revolution more profound than the one responsible for producing the atomic bomb. With practical applications ranging from the control of traffic flow and the development of artifical intelligence to the treatment of heart attacks and schizophrenia, chaos promises to be an increasingly rewarding area of inquiry -- of interest to everyone.